[Step-by-Step] Given the function f(x)= (3)/(28)x^2 if -3≤ x≤ 1 , 0 otherwise
Question: Given the function
\[f\left( x \right)=\left\{ \begin{aligned} & \frac{3}{28}{{x}^{2}}\,\,\,\,\,\text{if }-3\le x\le 1 \\ & 0\text{ otherwise} \\ \end{aligned} \right.\]- Show that this function is a valid probability density.
- Find \(p\left( -2\le x\le 0 \right)\)
- Find the mean.
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